Browsing Dissertations & Theses by Title
Now showing items 94-113 of 173
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New Development of Grid Generation and Image Analysis
(2020-08-05)Image segmentation and registration are indispensable tools for the aid in medical diagnoses by experts. The current gold-standard for image segmentation is manual labeling of pixels by experts which is cumbersome and ... -
New Developments Of The Deformation Method
(Mathematics, 2007-08-23)New developments of deformation method for grid generation are presented in this work. Theorems for three different cases and different methods for implementing deformation method are presented. One of the new developments ... -
A New Method For Non-rigid Registration Of 3d Images
(Mathematics, 2009-09-16)In this dissertation we present a novel method for the nonrigid registration of 3D images using a well-established mathematical framework mostly known as the deformation based grid generation method. The deformation based ... -
New Results In Finite Geometries Pertaining To Albert-like Semifields
(Mathematics, 2012-07-25)One of the most widely studied class of semifields are the generalized twisted fields defined by Albert in the 50s and 60s. The collineation groups of generalized twisted field planes have been completely described. In a ... -
Nilpotent Lie Algebras And Nilmanifolds Constructed From Graphs
The interaction between graph theory and differential geometry has been studied previously, but S. Dani and M. Mainkar brought a new approach to this study by associating a two-step nilpotent Lie algebra (and thereby a ... -
Non-traditional Socio-mathematical Norms In Undergraduate Real Analysis
(Mathematics, 2010-03-03)This study builds upon the framework of classroom norms (Cobb, Wood, & Yackel, 1993) and socio-mathematical norms (Cobb & Yackel, 1996) to understand how non-traditional socio-mathematical norms influence student reasoning ... -
Nonlinear Dynamics And Stochasticity Of Core Genetic Regulation
(Mathematics, 2012-07-25)"Bacillus subtilis" is one of the very well-studied organisms in biology. Recent results show that an alternative competence regulation circuit for this bacterium, differing only in the order of the composite negative ... -
NONPARAMETRIC ADAPTIVE DISTRIBUTION-FREE PROCEDURE FOR CROSSOVER DESIGN WITH REPEATED MEASURES
(2017-05-11)We propose to apply adaptive nonparametric procedures (Hill, Padmanabhan, & Puri, 1988) on 2x2 crossover design with repeated measures. We will derive the test-statistics (based on function of ranks) and find their ... -
NORMALIZED CUT PROBLEMS WITH GENERALIZED LINEAR CONSTRAINTS
(2019-08-30)Several methods are used to process images in many fields, including clustering, image segmentation and medical imaging. The so-called graph-cut methods in graph theory are widely used for image segmentation. In these ... -
NUMBER SENSE IN HIGH SCHOOL MATHEMATICS STUDENTS
(2016-01-08)Understanding the real number system plays a very important role in each student’s mathematical achievement. The Texas Essential Knowledge and Skills (TEKS) for Mathematics Subchapter A. Elementary states, “For students ... -
Numerical Construction of Diffeomorphism and the Applications to Grid Generation and Image Registration
(2016-08-12)Diffeomorphism is an active research topic in differential geometry. In this area, the existence and construction of diffeomorphism under certain constraints is an interesting and meaningful task. J. Moser first proved the ... -
Numerical Integration Of Matrix Riccati Differential Equations With Solution Singularities
(Mathematics, 2013-07-22)A matrix Riccati differential equation (MRDE) is a quadratic ODE of the form X' = A₂₁ + A₂₂X - XA₁₁ - XA₁₂X ; where X is a function of t with X : R Rnxm and the Aij's are constant or functions of t with matrix sizes ... -
Numerical LES For MVG Controlled Supersonic Ramp Flow
(Mathematics, 2014-12)An implicitly implemented large eddy simulation by using the fifth order bandwidth-optimized WENO scheme is applied to make comprehensive studies on ramp flows with micro-ramp vortex generators (MVG) at Mach 2.5 and Re=5760. ... -
Numerical Methods For Spontaneous And Evoked Glutamate Release
As synapses are responsible for the majority of neuron communications in the brain, the events of evoked and spontaneous synaptic vesicle release/fusion are key features of all synaptic current. These release events typically ... -
NUMERICAL SOLUTION OF SADDLE POINT PROBLEMS BY PROJECTION
(2017-12-04)In this thesis, we work on iterative solutions of large linear systems of saddle point problems of the form A B1 T B2 0 x y = f 0 , where A ∈ R n×n , B1, B2 ... -
Numerical Studies For M-Matrix Algebraic Riccati Equations
(Mathematics, 2013-10-22)A new doubling algorithm - Alternating-Directional Doubling Algorithm (ADDA) - is developed for computing the unique minimal nonnegative solution of an M-Matrix Algebraic Riccati Equation (MARE). It is argued by both ... -
ON A CUBIC NONLINEAR EQUATION MODEL ARISING IN SHALLOW WATER THEORY
(2021-08-06)The shallow water waves theory produces numerous integrable equations with cubic non- linearity as asymptotic models. We began our work by formally deriving a model equation for the free surface elevation η with higher-order ... -
ON DIFFERENT COMPUTATIONAL ASPECTS FOR BOX-COX TRANSFORMATION CURE RATE MODEL
(2021-08-16)Cure rate modeling is an emerging area of research not only in biomedical science but also in other disciplines such as sociology, criminal justice, economics and engineering reliability. In the first part of this thesis, ... -
On M-inverse Loops And Quasigroups Of Order N With A Long Inverse Cycle.
In 2002, A.D Keedwell and V.A Sherbacov introduced the concept of finite m-inverse quasigroups with long inverse cycles. Keedwell and Sherbacov observed that finite m-inverse loops and quasigroups with a long inverse cycle ... -
On Optimizing the Sum of Rayleigh Quotients on the Unit Sphere
(2019-05-06)Given symmetric matrices and positive definite matrices, we are concerned with the solution of the maximization of the function that is mentioned in the dissertation. We establish necessary optimality conditions for local ...